Scattering of sine-Gordon Breathers on a Potential Well

Piette, B.; Zakrzewski, W.J.

doi:10.1103/physreve.79.046603

Scattering of sine-Gordon Breathers on a Potential Well

Piette, B.; Zakrzewski, W.J.

Authors

Professor Bernard Piette b.m.a.g.piette@durham.ac.uk
Professor

W.J. Zakrzewski

Abstract

We analyze the scattering of the classical sine-Gordon breathers on a square potential well. We show that the scattering process depends not only on the vibration frequency of the breather and its incoming speed but also on its phase as well as the depth and width of the well. We show that the breather can pass through the well and exit with a speed different, sometimes larger, from the initial one. It can also be trapped and very slowly decay inside the well or bounce out of the well and go back to where it came from. We also show that the breather can split into a kink–antikink pair when it hits the well.

Citation

Piette, B., & Zakrzewski, W. (2009). Scattering of sine-Gordon Breathers on a Potential Well. Physical review E: Statistical, nonlinear, and soft matter physics, 79(4), Article 046603. https://doi.org/10.1103/physreve.79.046603

Journal Article Type	Article
Publication Date	Apr 1, 2009
Deposit Date	Nov 22, 2010
Publicly Available Date	Oct 15, 2013
Journal	Physical review . E, Statistical, nonlinear, and soft matter physics
Print ISSN	1539-3755
Electronic ISSN	1550-2376
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	79
Issue	4
Article Number	046603
DOI	https://doi.org/10.1103/physreve.79.046603